The most common and most likely answer to this crossword clue is the 6 letter word FILIAL
I've seen this crossword clue in The Guardian
F
I
L
I
A
L
More clues leading to the result FILIAL
- Twice I fall over as a child
- Son’s mounting trouble providing line
- Iowa is in charge of the next generation
- 20 in charge, appropriate for next generation
- For offspring fill in first-class return? On the contrary
- Mother ups and leaves with respect to relatives, as befits a daughter
- One article among stuff of a daughter or son
- Loyal crowd around the shores of India
- What’s satisfying about one answer, like Cordelia’s response to Lear
Buddy explains!

The straight part
We know that "Cordelia’s response to Lear" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case cordelia’s response to lear = filial.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does FILIAL mean?
FILIAL adjective- Pertaining to or befitting a son or daughter.
- Respectful of the duties and attitudes of a son or daughter toward their parents.
- Of a generation or generations descending from a specific previous one.